A car travels around a bend of radius R at a speed v1, experiencing a centripetal acceleration ac. The car then travels around a curve with the same radius R, but with a centripetal acceleration which has twice the magnitude of ac. What speed is the car moving, when going around the second curve?

Question

a. v1/(square root of 2)
b. square root of (2 times v1)
c. v1
d. square root of 2 , times v1

Answer 1

Centripetal acceleration
=v²/r
or it varies with the square of the velocity.
When acceleration is doubled, the velocity is increased by a factor of √2.
This way (√2)²=2.